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Stochastic multi-armed bandits are a sequential-decision-making framework, where, at each interaction step, the learner selects an arm and observes a stochastic reward. Within the context of best-arm identification (BAI) problems, the goal…

机器学习 · 计算机科学 2024-01-15 Riccardo Poiani , Alberto Maria Metelli , Marcello Restelli

We study the problem of stochastic combinatorial pure exploration (CPE), where an agent sequentially pulls a set of single arms (a.k.a. a super arm) and tries to find the best super arm. Among a variety of problem settings of the CPE, we…

机器学习 · 计算机科学 2021-10-26 Yuko Kuroki , Liyuan Xu , Atsushi Miyauchi , Junya Honda , Masashi Sugiyama

We analytically derive a class of optimal solutions to a linear program (LP) for automated mechanism design that satisfies efficiency, incentive compatibility, strong budget balance (SBB), and individual rationality (IR), where SBB and IR…

计算机科学与博弈论 · 计算机科学 2025-05-20 Takayuki Osogami , Hirota Kinoshita , Segev Wasserkrug

Many real-world problems like Social Influence Maximization face the dilemma of choosing the best $K$ out of $N$ options at a given time instant. This setup can be modeled as a combinatorial bandit which chooses $K$ out of $N$ arms at each…

机器学习 · 计算机科学 2021-10-12 Mridul Agarwal , Vaneet Aggarwal , Christopher J. Quinn , Abhishek K. Umrawal

The multi-armed bandit (MAB) models have attracted significant research attention due to their applicability and effectiveness in various real-world scenarios such as resource allocation, online advertising, and dynamic pricing. As an…

机器学习 · 计算机科学 2024-02-13 Yandi Li , Jianxiong Guo , Yupeng Li , Tian Wang , Weijia Jia

We study distributed cooperative decision-making under the explore-exploit tradeoff in the multiarmed bandit (MAB) problem. We extend the state-of-the-art frequentist and Bayesian algorithms for single-agent MAB problems to cooperative…

系统与控制 · 计算机科学 2019-09-18 Peter Landgren , Vaibhav Srivastava , Naomi Ehrich Leonard

Optimally solving a multi-armed bandit problem suffers the curse of dimensionality. Indeed, resorting to dynamic programming leads to an exponential growth of computing time, as the number of arms and the horizon increase. We introduce a…

最优化与控制 · 数学 2024-05-22 Michel de Lara , Benjamin Heymann , Jean-Philippe Chancelier

We study a novel variant of the multi-armed bandit problem, where at each time step, the player observes an independently sampled context that determines the arms' mean rewards. However, playing an arm blocks it (across all contexts) for a…

机器学习 · 计算机科学 2020-06-18 Soumya Basu , Orestis Papadigenopoulos , Constantine Caramanis , Sanjay Shakkottai

We study decentralized stochastic linear bandits, where a network of $N$ agents acts cooperatively to efficiently solve a linear bandit-optimization problem over a $d$-dimensional space. For this problem, we propose DLUCB: a fully…

机器学习 · 计算机科学 2020-12-02 Sanae Amani , Christos Thrampoulidis

Recently, there has been extensive study of cooperative multi-agent multi-armed bandits where a set of distributed agents cooperatively play the same multi-armed bandit game. The goal is to develop bandit algorithms with the optimal group…

机器学习 · 计算机科学 2023-08-09 Lin Yang , Xuchuang Wang , Mohammad Hajiesmaili , Lijun Zhang , John C. S. Lui , Don Towsley

Contextual multi-armed bandit (MAB) algorithms have been shown promising for maximizing cumulative rewards in sequential decision tasks such as news article recommendation systems, web page ad placement algorithms, and mobile health.…

机器学习 · 统计学 2019-02-01 Gi-Soo Kim , Myunghee Cho Paik

In this paper, we consider stochastic multi-armed bandits (MABs) with heavy-tailed rewards, whose $p$-th moment is bounded by a constant $\nu_{p}$ for $1<p\leq2$. First, we propose a novel robust estimator which does not require $\nu_{p}$…

机器学习 · 计算机科学 2021-10-28 Kyungjae Lee , Hongjun Yang , Sungbin Lim , Songhwai Oh

We consider the stochastic multi-armed bandit (MAB) problem in a setting where a player can pay to pre-observe arm rewards before playing an arm in each round. Apart from the usual trade-off between exploring new arms to find the best one…

机器学习 · 计算机科学 2019-11-22 Jinhang Zuo , Xiaoxi Zhang , Carlee Joe-Wong

We study a hinted heterogeneous multi-agent multi-armed bandits problem (HMA2B), where agents can query low-cost observations (hints) in addition to pulling arms. In this framework, each of the $M$ agents has a unique reward distribution…

机器学习 · 计算机科学 2025-02-28 Amirmahdi Mirfakhar , Xuchuang Wang , Jinhang Zuo , Yair Zick , Mohammad Hajiesmaili

We consider a large number of agents collaborating on a multi-armed bandit problem with a large number of arms. The goal is to minimise the regret of each agent in a communication-constrained setting. We present a decentralised algorithm…

机器学习 · 计算机科学 2021-09-21 Conor Newton , Ayalvadi Ganesh , Henry W. J. Reeve

We extend Bayesian multi-armed bandit (MAB) algorithms beyond their original setting by making use of sequential Monte Carlo (SMC) methods. A MAB is a sequential decision making problem where the goal is to learn a policy that maximizes…

机器学习 · 统计学 2024-04-08 Iñigo Urteaga , Chris H. Wiggins

This paper addresses the problem of unknown delays in adversarial multi-armed bandit (MAB) with multiple play. Existing work on similar game setting focused on only the case where the learner selects an arm in each round. However, there are…

机器学习 · 计算机科学 2020-10-02 Olusola T. Odeyomi

We establish an asymptotic framework for the statistical analysis of the stochastic contextual multi-armed bandit problem (CMAB), which is widely employed in adaptively randomized experiments across various fields. While algorithms for…

计量经济学 · 经济学 2025-05-21 Ramon van den Akker , Bas J. M. Werker , Bo Zhou

Bandit algorithms have various application in safety-critical systems, where it is important to respect the system constraints that rely on the bandit's unknown parameters at every round. In this paper, we formulate a linear stochastic…

机器学习 · 计算机科学 2019-08-19 Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

Multi-armed bandit algorithms provide solutions for sequential decision-making where learning takes place by interacting with the environment. In this work, we model a distributed optimization problem as a multi-agent kernelized multi-armed…

机器学习 · 计算机科学 2023-12-11 Ayush Rai , Shaoshuai Mou